Aharonov-Anandan geometric phase for spin-1/2 periodic Hamiltonians

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, , Citation D J Fernandez C et al 1992 J. Phys. A: Math. Gen. 25 5151 DOI 10.1088/0305-4470/25/19/023

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1 Dept. de Fisica Teorica, Volladolid Univ., Spain

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Abstract

The authors calculate exactly the Aharonov-Anandan phase for the evolution of a spin-1/2 in some periodic time-dependent magnetic fields, and give a discussion of the results versus the adiabatic ones. In particular, they analyse the existence of cyclic states and show explicit examples of systems with a prescribed value of the AA phase for all cyclic evolutions.

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